Synchronization of chaotic delayed neural networks with impulsive and stochastic perturbations

摘要

In this paper, we study the exponential synchronization problem of a class of chaotic delayed neural networks with impulsive and stochastic perturbations. The involved time delays include time-varying delays and unbounded distributed delays. Employing the method of impulsive delay differential inequality, several new sufficient conditions ensur-ing the exponential synchronization are obtained, which can be easily checked by LMI Con-trol Toolbox in Matlab. Compared with the previous methods, our method does not resort to complicated Lyapunov-Krasovkii, and the results derived are independent of the time-varying delays and do not require the differentiability of delay functions and the monotony of the activation functions. Finally, a numerical example and its simulation is given to show the effectiveness of the obtained results in this paper.